Quantum Modified Gravity at Low Energy in the Ricci Flow of Quantum Spacetime

Quantum treatment of physical reference frame leads to the Ricci flow quantum spacetime, which is a quite rigid framework and renormalization effect gravity. The theory has low characteristic energy scale described by unique constant: critical density universe. At long distance (cosmic or galactic) scale, modifies Einstein's gravity naturally gives rise cosmological constant as counter term at leading order an effective dependent Einstein-Hilbert action. In weak static limit, transition trend away from Newtonian similar MOdified Dynamics (MOND) around scale. When local curvature large, recovered. enough be comparable with asymptotic background corresponding produces baryonic Tully-Fisher relation. For intermediate general curvature, interpolating Lagrangian function yields observed radial acceleration relation galaxies. matter much lower than outskirt galaxy, there may universal "acceleration floor" expansion universe, differs MOND its deep-MOND limit. $a_0$ introduced in related theory. contribution it next contribution, equivalently induces "cold dark matter" consistent galaxian data when "dark about 5 times matter.